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Tresset [83]
3 years ago
13

Rewrite in simplest terms: 10 ( 7 g − 9 h ) − 4 h − 8 ( − h + 8 g )

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

6g -86h

Step-by-step explanation:

10( 7g-9h) -4h - 8(-h + 8g)

1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.  

10( 7g - 9h) -4h - 8(-h + 8g)\\70g - 90h-4h+8h-64g\\

2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)

70g - 90h-4h+8h-64g\\\\70g-64g-90h-4h+8h\\6g-86h

There are no more like terms to combine, so 6g -86h is the answer.

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Talon made 75 percent of his free throws during lunch. If he made 15 free throws, how many total shots did he take?
Thepotemich [5.8K]

Answer:

20

Step-by-step explanation:

<u>15</u> = <u>75</u>    

x      100       (then cross multiply below)                              

---------------------------

<u>1,500</u> = <u>75x </u>

75           75

20 = x

6 0
2 years ago
You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor
Lubov Fominskaja [6]

Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

<h3 /><h3>What is the size of the loan?</h3>

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

The total amount of money paid is:

= Number of periods x Payment per period

= 30 years x 12 months per year x 950

= $342,000

The interest is:

= 342,000 - 142,792.19

= $199,207.81.

Find out more on interest payments on loans at brainly.com/question/13005100

#SPJ1

4 0
1 year ago
A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
Algebra 1 help please
Zielflug [23.3K]
Short leg = ?
Long leg = 1/2x + 11
Hypotenuse = 2x + 1

For this you'd need to use the Pythagorean Theorem to find the short leg.

Pythagorean Theorem - a^2 + b^2 = c^2
3 0
3 years ago
Jimmy sold a book for $69.95 on Cheggs.com. The state had to added a 8% tax his book. How much was
kari74 [83]

Answer:

$5.60

Step-by-step explanation:

Multiply the price of your book, $69.95 by the tax .08

69.95 x 0.08 = 5.596, rounded up to 5.60

3 0
3 years ago
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